Simulation Study Visualizations
Björn S. Siepe 
Matthias Kloft
Fridtjof Petersen
Yong Zhang
Laura F. Bringmann
Daniel W. Heck
This document contains code to reproduce the visualizations of the simulation study in the manuscript. It also contains additional results not shown in the main manuscript.
Load relevant packages:
library(tidyverse)
library(SimDesign)
library(cowplot)
library(showtext)
library(sysfonts)
library(ggokabeito)
library(janitor)
library(ggh4x)
library(pander)
library(MetBrewer)
library(here)
library(lm.beta)
source(here::here("scripts", "00_functions.R"))Load the simulation results:
sim_results <- readRDS(here::here("output", "sim_results.RDS"))
# Create a cut version of the simulation results without MCMC diagnostics
sim_res_cut <- sim_results |>
select(-contains("rhat")) |>
select(-contains("divtrans"))These are the data generating matrices that we used for our fixed effects:
VAR matrix: \[\begin{bmatrix} 0.41 & 0.105 & 0.105 & 0.105 & 0.105 & 0.105 \\ 0.105 & 0.35 & 0.075 & 0 & 0.075 & 0.075 \\ 0.105 & 0 & 0.35 & 0.075 & 0 & 0.075 \\ 0.105 & 0.075 & 0.075 & 0.35 & 0 & 0.075 \\ 0.105 & 0.075 & 0.075 & 0.075 & 0.35 & 0 \\ 0.105 & 0.075 & 0.075 & 0.075 & 0.075 & 0.35 \end{bmatrix} \quad\quad\] Innovation covariance matrix: \[\begin{bmatrix} 1 & 0.188 & 0.188 & 0.188 & 0.188 & 0.188 \\ 0.188 & 1 & 0.15 & 0.15 & 0 & 0.15 \\ 0.188 & 0.15 & 1 & 0.15 & 0.15 & 0.15 \\ 0.188 & 0.15 & 0.15 & 1 & 0.15 & 0.15 \\ 0.188 & 0 & 0.15 & 0.15 & 1 & 0 \\ 0.188 & 0.15 & 0.15 & 0.15 & 0 & 1 \end{bmatrix}\]We had multiple minor deviations from our preregistration, which mostly occurred due to errors on our side. We do not think that any of these decreases the informativeness of our study.
| Deviation | Explanation |
|---|---|
| Updated BmlVAR formula to fix subscripts and notation | The preregistered model formula omitted some necessary subscripts and used inconsistent distributional notation. These were corrected for clarity and correctness in the final version. |
Renamed centrality predictor from d to c |
The label c was chosen for clarity. |
| Incorrect prior notation for second step regression residual variance | We accidentally noted a t-prior on \(log(sigma)\), but a half-t prior on \(\sigma\) was used in both steps for consistency across models and had already been implemented in the code. We fixed the notation to align with our actual implementation |
| Omitted sum over individuals in centrality selection accuracy formula | The preregistered formula did not include a summation over individuals, which is necessary for the proportion. |
| 200 instead of 100 simulation repetitions | As we explained in the manuscript, we accidentally calculated that we needed 200 instead of the actual 100 simulation repetitions to achieve the desired worst-case MCSE. We kept the 200 repetitions as they are informative and increase precision. |
Prepare dataframe for visualization by giving proper names, removing unnecessary columns, and pivoting longer:
sr_edit <- sim_res_cut |>
mutate(
dgp = factor(n_tp, levels = c(60, 120)),
n_id = factor(n_id, levels = c(75, 200))
) |>
# remove "reg_" from all column names
rename_with(~str_remove(., "reg_")) |>
# remove everything before a "." in the column names
rename_with(~str_remove(., ".*\\.")) |>
dplyr::select(-c("REPLICATIONS", "SIM_TIME", "SEED", "COMPLETED", "WARNINGS", "RAM_USED")) |>
dplyr::select(-c("heterogeneity")) |>
# pivot longer except conditions cols
pivot_longer(cols = -c("dgp", "n_tp", "n_id"),
names_to = "measure",
values_to = "value") |>
mutate(measure = str_replace(measure, "power_reg", "powerreg"),
measure = str_replace(measure, "powertwoside_reg", "powertwosidereg"),
measure = str_replace(measure, "poweroneside_reg", "poweronesidereg"),
measure = str_replace(measure, "rmse_reg", "rmsereg"),
measure = str_replace(measure, "bias_reg", "biasreg"),
measure = str_replace(measure, "mse_reg", "msereg")) |>
filter(!measure %in% c("strength_sd", "outstrength_sd", "instrength_sd")) |>
separate_wider_delim(measure,
delim = "_",
names = c("pm", "outcome", "method", "summary")) |>
mutate(method = case_when(
method == "gvar" ~ "GVAR",
method == "gimme" ~ "GIMME",
method == "mlvar" ~ "mlVAR",
method == "bmlvar" ~ "BmlVAR"
)) |>
# treat method as factor and order
mutate(method = factor(method, levels = c("GVAR", "GIMME", "mlVAR", "BmlVAR"))) |>
mutate(outcome = case_when(
outcome == "beta" ~ "Temporal",
outcome == "pcor" ~ "Contemporaneous",
.default = outcome
)) |>
group_by(dgp, n_tp, n_id, pm, outcome, method) |>
pivot_wider(names_from = summary, values_from = value) |>
ungroup()Prepare different colors and settings for visualization:
meth_colors <- set_names(MetBrewer::met.brewer("Johnson")[c(1,2,4,5)],
c("GVAR", "mlVAR", "GIMME", "BmlVAR"))Check if any errors that led to non-convergence occurred:
# load results before resummarization, which contain potential error messages
sim_full_pre_resum <- readRDS(here("output", "sim_full.rds"))
sim_errors <- SimExtract(sim_full_pre_resum, "errors")There were 0 error messages.
We extract all warnings and rename them properly:
sim_warnings <- SimExtract(sim_full_pre_resum, what = "warnings")
sim_warnings |>
select(!c(heterogeneity, strength_sd, outstrength_sd, instrength_sd)) |>
rename("Deprecated dplyr function" = "WARNING: c(\"Warning in NULL : `funs()` was deprecated in dplyr 0.8.0.\", \"Warning in NULL : Please use a list of either functions or lambdas: \\n\\n # Simple nam",
"Bulk ESSlow" = "WARNING: Warning in NULL : Bulk Effective Samples Size (ESS) is too low, indicating posterior means and medians may be unreliable.\nRunning the chains for more i",
"Potential Stan sampling problems" = "WARNING: Warning in NULL : Examine the pairs() plot to diagnose sampling problems\n",
"Tail ESS low" = "WARNING: Warning in NULL : Tail Effective Samples Size (ESS) is too low, indicating posterior variances and tail quantiles may be unreliable.\nRunning the chains",
"NA R-hat" = "WARNING: Warning in NULL : The largest R-hat is NA, indicating chains have not mixed.\nRunning the chains for more iterations may help. See\nhttps://mc-stan.org/mi",
"Divergent transition" = "WARNING: Warning in NULL : There were 1 divergent transitions after warmup. See\nhttps://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup\nto find",
"Exceeded maximum treedepth" = "WARNING: Warning in NULL : There were 497 transitions after warmup that exceeded the maximum treedepth. Increase max_treedepth above 10. See\nhttps://mc-stan.org",
"Rothman algorithm warning" = "WARNING: Warning in Rothmana(data_l, data_c, lambdas$beta[i], lambdas$kappa[i], regularize_mat_beta = regularize_mat_beta, regularize_mat_kappa = regulariz",
"Variable naming warning" = "WARNING: Warning in validityMethod(object) : The following variables have undefined values: reg_intercept_z[1],The following variables have undefined values: ") |>
knitr::kable()| dgp | n_id | n_tp | Deprecated dplyr function | Bulk ESSlow | Potential Stan sampling problems | Tail ESS low | NA R-hat | Divergent transition | Exceeded maximum treedepth | Rothman algorithm warning | Variable naming warning |
|---|---|---|---|---|---|---|---|---|---|---|---|
| sparse | 75 | 60 | 60 | 200 | 100 | 200 | 28 | 100 | 3 | 4759 | 35 |
| sparse | 200 | 60 | 0 | 200 | 1 | 199 | 15 | 1 | 0 | 12834 | 23 |
| sparse | 75 | 120 | 0 | 199 | 26 | 197 | 5 | 26 | 0 | 4555 | 2 |
| sparse | 200 | 120 | 0 | 200 | 0 | 163 | 3 | 0 | 0 | 12042 | 32 |
Unfortunately, we removed warnings from mlVAR during our simulation. However, in our additional simulations in 06_additional_mlvar_simulation.qmd, we noticed that warning messages from mlVAR were only related to the renaming of certain variables, so we assume that we did not miss any substantial warnings.
Plot point estimate recovery (RMSE), helpful to understand the overall performance of the different methods.
plot_mse <- sr_edit |>
mutate(mcse = ifelse(is.na(mcse), 0, mcse)) |>
mutate(outcome = factor(outcome, levels = c("Temporal", "Contemporaneous"))) |>
filter(pm == "mse") |>
ggplot(aes(x = method,
y = mean,
colour = method
)) +
# add vertical line between methods
geom_vline(colour = "#F3F4F5", xintercept = seq(1.5, 4, 1))+
geom_errorbar(aes(ymin = mean - 1*mcse,
ymax = mean + 1*mcse),
width = .8,
position = position_dodge(0.7),
show.legend = FALSE)+
geom_point(position = position_dodge(0.7),
size = 1.2) +
ggh4x::facet_nested(n_id ~ outcome + n_tp,
axes = "all",
remove_labels = "y") +
scale_x_discrete(guide = guide_axis(angle = 90))+
scale_y_continuous(expand = c(0, 0), limits = c(0,0.03)) +
scale_color_manual(values = meth_colors) +
theme_centrality()+
theme(legend.position = "none",
text = element_text(size = 22))+
labs(title = "",
x = "Method",
colour = "Method",
y = "MSE of Network Estimation")
plot_mse
Plot Bias:
plot_bias <- sr_edit |>
mutate(mcse = ifelse(is.na(mcse), 0, mcse)) |>
mutate(outcome = factor(outcome, levels = c("Temporal", "Contemporaneous"))) |>
filter(pm == "bias") |>
ggplot(aes(x = method,
y = mean,
colour = method
)) +
# add vertical line between methods
geom_vline(colour = "#F3F4F5", xintercept = seq(1.5, 4, 1))+
geom_errorbar(aes(ymin = mean - 1*mcse,
ymax = mean + 1*mcse),
width = .8,
position = position_dodge(0.7),
show.legend = FALSE)+
geom_point(position = position_dodge(0.7),
size = 1.2) +
ggh4x::facet_nested(n_id ~ outcome + n_tp,
axes = "all",
remove_labels = "y") +
scale_x_discrete(guide = guide_axis(angle = 90))+
scale_y_continuous(expand = c(0, 0), limits = c(-0.1,0.1)) +
scale_color_manual(values = meth_colors) +
theme_centrality() +
theme(legend.position = "none",
text = element_text(size = 22))+
labs(title = "",
x = "Method",
colour = "Method",
y = "Bias of Network Estimation")
plot_bias
plot_mostcentral <- sr_edit |>
# if mcse is missing, set to 0
mutate(mcse = ifelse(is.na(mcse), 0, mcse)) |>
mutate(outcome = factor(outcome, levels = c("Temporal", "Contemporaneous"))) |>
filter(pm == "mostcent") |>
mutate(n_tp = paste0("t = ", n_tp)) |>
mutate(n_tp = factor(n_tp, levels = c("t = 60", "t = 120"))) |>
mutate(n_id = paste0("n = ", n_id)) |>
mutate(n_id = factor(n_id, levels = c("n = 75", "n = 200"))) |>
ggplot(aes(x = as.factor(n_tp),
y = mean,
group = method,
colour = method
)) +
# horizontal line at chance level of 1/6
geom_hline(yintercept = 1/6,
linetype = 2,
alpha = .7)+
# add vertical line between methods
geom_vline(colour = "#F3F4F5", xintercept = seq(1.5, 4, 1))+
geom_errorbar(aes(ymin = mean - 1*mcse,
ymax = mean + 1*mcse),
width = .5,
position = position_dodge(0.8),
show.legend = FALSE)+
geom_point(position = position_dodge(0.8),
size = 1.4) +
# add mean as text above errorbar
geom_text(aes(label = sub("^(-?)0.", "\\1.",sprintf("%.2f", mean))),
position = position_dodge(0.8),
vjust = -1.0,
size = 4,
show.legend = FALSE) +
ggh4x::facet_nested(n_id ~ outcome,
axes = "all",
remove_labels = "y") +
# scale_x_discrete(guide = guide_axis(angle = 90))+
scale_y_continuous(expand = c(0, 0), limits = c(0,1.1)) +
scale_color_manual(values = meth_colors) +
theme_centrality() +
theme(legend.position = "bottom",
text = element_text(size = 24),
)+
labs(title = "",
x = "Time Points",
colour = "",
y = "Proportion of Correct Central Nodes")
ggsave("plot_mostcentral.pdf", plot_mostcentral, height = 6 * 1.1, width = 9 * 1.1,
path = here::here("figures/"), device = "pdf")
plot_mostcentral
We were interested in the performance of centrality estimation, which we assessed with regard to rank-order performance. As we expected centrality estimates to be biased downwards in some methods due to sparsity assumptions, we computed the rank-order consistency of individual centrality estimates. To do so, we computed the point estimate of network centrality \(\hat{c}\) per individual in a data set, which ignored estimation uncertainty. We then estimated the Spearman rank correlation \(\hat{\rho}_{i}\) in repetition \(i\) of these estimates with the true network centrality \(c\) and calculated its average across repetitions as: \[\begin{align*} \widehat{\rho} = \frac{\sum_{i=1}^{n_{\text{sim}}} \hat{\rho}_i}{n_{\text{sim}}} \end{align*}\] We calculated the MCSE of this correlation via bootstrapping.
plot_rankcor <- sr_edit |>
# if mcse is missing, set to 0
mutate(mcse = ifelse(is.na(mcse), 0, mcse)) |>
# uselessly used temp and cont instead of beta and pcor here
mutate(outcome = case_when(
outcome == "temp" ~ "Temporal",
outcome == "cont" ~ "Contemporaneous"
)) |>
mutate(outcome = factor(outcome, levels = c("Temporal", "Contemporaneous"))) |>
filter(pm == "rankcor") |>
ggplot(aes(x = method,
y = mean,
colour = method
)) +
# add vertical line between methods
geom_vline(colour = "#F3F4F5", xintercept = seq(1.5, 4, 1))+
geom_errorbar(aes(ymin = mean - 1*mcse,
ymax = mean + 1*mcse),
width = .8,
position = position_dodge(0.7),
show.legend = FALSE)+
geom_point(position = position_dodge(0.7),
size = 1.2) +
ggh4x::facet_nested(n_id ~ outcome + n_tp,
axes = "all",
remove_labels = "y") +
scale_x_discrete(guide = guide_axis(angle = 90))+
scale_y_continuous(expand = c(0, 0), limits = c(0,1.1)) +
scale_color_manual(values = meth_colors) +
theme_centrality() +
theme(legend.position = "none",
text = element_text(size = 22))+
labs(title = "",
x = "Method",
colour = "Method",
y = "Centrality Rank Correlation")
ggsave("plot_rankcor.pdf", plot_rankcor, height = 12, width = 16,
path = here::here("figures/"), device = "pdf")
plot_rankcor
Prep data
# Split data set into three based on true effect
power_df <- sr_edit |>
filter(!str_detect(pm, "poweroneside")) |>
mutate(pm = str_replace(pm, "powertwoside", "power")) |>
filter(str_detect(pm, "power")) |>
mutate(outcome = case_when(
# outcome == "tempdens" ~ "Temporal\nDensity",
# outcome == "contdens" ~ "Contemporaneous\nDensity",
outcome == "outstrength" ~ "Temporal\nOutstrength",
outcome == "strength" ~ "Contemporaneous\nStrength",
outcome == "instrength" ~ "Temporal\nInstrength"
)) |>
# For now, remove contemporaneous strength
filter(outcome != "Contemporaneous\nStrength") |>
mutate(n_id = paste0("n = ", n_id)) |>
mutate(n_id = factor(n_id, levels = c("n = 75", "n = 200"))) |>
mutate(n_tp = paste0("t = ", n_tp)) |>
mutate(n_tp = factor(n_tp, levels = c("t = 60", "t = 120"))) |>
# split pm into two columns, take last number into new column
separate_wider_delim(pm, delim = "reg", names = c("pm", "true_effect"))
power_list <- split(power_df, power_df$true_effect)Function to create the plots:
# Function to create the plot for a given dataframe
power_plot <- function(df) {
ggplot(df, aes(x = n_tp,
y = mean,
colour = method,
fill = method,
group = method)) +
geom_errorbar(aes(ymin = mean - 1 * mcse,
ymax = mean + 1 * mcse),
width = 0.5,
position = position_dodge(0.7),
show.legend = FALSE) +
# add vertical
geom_vline(colour = "#F3F4F5", xintercept = seq(1.5, 4, 1))+
geom_point(position = position_dodge(0.7),
size = 1.4) +
ggh4x::facet_nested(n_id ~ outcome,
axes = "all",
remove_labels = "y") +
# scale_x_discrete(guide = guide_axis(angle = 90)) +
scale_y_continuous(expand = c(0, 0), limits = c(-0.1, 1.1)) +
scale_color_manual(values = meth_colors) +
theme_centrality() +
theme(legend.position = "none",
strip.text.x.top = ggplot2::element_text(size = rel(0.85)),
ggh4x.facet.nestline = element_line(colour = "#6d6d6e"),
axis.text = element_text(size = 18)) +
labs(title = "",
x = "",
colour = "",
fill = "",
group = "",
y = "Detection Rate")
}Create the plots and combine them with patchwork
plot_power_list <- lapply(power_list, power_plot)
# add legend to the third plot
plot_3_legend <- plot_power_list[[3]] +
theme(legend.position = "bottom",
text = element_text(size = 25))
# extract legend
legend <- cowplot::get_plot_component(plot_3_legend, 'guide-box-bottom', return_all = TRUE)
# add legend to cowplot
plot_power_combined <- cowplot::plot_grid(plot_power_list[[1]],
plot_power_list[[2]],
plot_power_list[[3]],
legend,
ncol = 1,
nrow = 4,
rel_heights = c(1, 1, 1, 0.1),
labels = c("True Effect: 0",
"True Effect: 0.2",
"True Effect: 0.4",
""),
label_fontfamily = "news",
label_size = 18)
ggsave("plot_power_combined.pdf", plot_power_combined, height = 16* 0.95, width = 16* 0.8,
path = here::here("figures/"))
ggsave("plot_power_combined.svg", plot_power_combined, height = 16* 0.95, width = 16* 0.8,
path = here::here("scripts", "simulation_viz_figures"))How large was the difference between instrength and outstrength?
power_df |>
pivot_wider(id_cols = c(dgp, n_id, n_tp, pm, true_effect, method),
names_from = outcome,
values_from = c(mean, mcse)) |>
filter(true_effect != 0) |>
janitor::clean_names() |>
mutate(mean_diff = mean_temporal_instrength - mean_temporal_outstrength) |>
summarize(mean_mean_diff = mean(mean_diff)) |>
knitr::kable()| mean_mean_diff |
|---|
| 0.0521875 |
This reproduces the simulation figure in the manuscript.
power_bias_reg_combined_df <- sr_edit |>
mutate(pm = str_replace(pm, "powertwoside", "power")) |>
filter(!str_detect(pm, "poweroneside")) |>
filter(str_detect(pm, "power") | str_detect(pm, "biasreg")) |>
mutate(outcome = case_when(
outcome == "outstrength" ~ "Temporal\nOutstrength",
outcome == "strength" ~ "Contemporaneous\nStrength",
outcome == "instrength" ~ "Temporal\nInstrength"
)) |>
filter(outcome == "Temporal\nOutstrength") |>
mutate(n_id = paste0("n = ", n_id)) |>
mutate(n_id = factor(n_id, levels = c("n = 75", "n = 200"))) |>
mutate(n_tp = paste0("t = ", n_tp)) |>
mutate(n_tp = factor(n_tp, levels = c("t = 60", "t = 120"))) |>
# split pm into two columns, take last number into new column
separate_wider_delim(pm, delim = "reg", names = c("pm", "true_effect")) |>
mutate(method = factor(method, levels = c("GVAR", "GIMME", "mlVAR", "BmlVAR"))) |>
mutate(true_effect = paste0("True Effect: .", true_effect)) |>
mutate(pm = case_when(
str_detect(pm, "power") ~ "Detection Rate",
str_detect(pm, "bias") ~ "Bias"
))
plot_power_bias_outstrength <- power_bias_reg_combined_df |>
ggplot(aes(x = n_tp,
y = mean,
colour = method,
fill = method,
group = method))+
geom_errorbar(aes(ymin = mean - 1 * mcse,
ymax = mean + 1 * mcse),
width = 0.5,
position = position_dodge(0.8),
show.legend = FALSE) +
# add vertical
geom_vline(colour = "#F3F4F5", xintercept = seq(1.5, 4, 1))+
geom_point(position = position_dodge(0.8),
size = 1.4) +
# add mean without leading zero
geom_text(aes(label = sub("^(-?)0.", "\\1.",sprintf("%.2f", mean))),
position = position_dodge(0.8),
vjust = -0.6,
size = 5,
show.legend = FALSE) +
ggh4x::facet_nested(true_effect + n_id ~ pm,
axes = "all",
scales = "free_y",
independent = "y") +
facetted_pos_scales(
y = list(pm == "Bias" ~ scale_y_continuous(expand = c(0, 0), limits = c(-.45, .2)),
pm == "Detection Rate" ~ scale_y_continuous(expand = c(0, 0), limits = c(-0.1, 1.1)))
)+
labs(
title = "",
x = "Time Points",
colour = "",
fill = "",
group = "",
y = ""
) +
scale_color_manual(values = meth_colors) +
theme_centrality() +
theme(legend.position = "bottom",
ggh4x.facet.nestline = element_line(colour = "#6d6d6e"),
axis.text.x = element_text(size = 22),
axis.text.y = element_text(size = 22),
axis.title.x = element_text(size = 24),
# increase all legend element size
legend.text = element_text(size = 24),
legend.title = element_text(size = 24),
legend.key.size = unit(1.6, "lines"),
strip.text = ggplot2::element_text(size = 24),
strip.text.x.top = ggplot2::element_text(size = 24)
)
ggsave("plot_power_bias_outstrength.pdf",
plot_power_bias_outstrength, height = 16* 0.95, width = 16* 0.8,
path = here::here("figures/"))power_bias_reg_strength_df <- sr_edit |>
mutate(pm = str_replace(pm, "powertwoside", "power")) |>
filter(!str_detect(pm, "poweroneside")) |>
filter(str_detect(pm, "power") | str_detect(pm, "biasreg")) |>
mutate(outcome = case_when(
outcome == "outstrength" ~ "Temporal\nOutstrength",
outcome == "strength" ~ "Contemporaneous\nStrength",
outcome == "instrength" ~ "Temporal\nInstrength"
)) |>
filter(outcome == "Contemporaneous\nStrength") |>
mutate(n_id = paste0("n = ", n_id)) |>
mutate(n_id = factor(n_id, levels = c("n = 75", "n = 200"))) |>
mutate(n_tp = paste0("t = ", n_tp)) |>
mutate(n_tp = factor(n_tp, levels = c("t = 60", "t = 120"))) |>
# split pm into two columns, take last number into new column
separate_wider_delim(pm, delim = "reg", names = c("pm", "true_effect")) |>
mutate(method = factor(method, levels = c("GVAR", "mlVAR", "GIMME", "BmlVAR"))) |>
mutate(true_effect = paste0("True Effect: .", true_effect)) |>
mutate(pm = case_when(
str_detect(pm, "power") ~ "Detection Rate",
str_detect(pm, "bias") ~ "Bias"
))
plot_power_bias_strength <- power_bias_reg_strength_df |>
ggplot(aes(x = n_tp,
y = mean,
colour = method,
fill = method,
group = method))+
geom_errorbar(aes(ymin = mean - 1 * mcse,
ymax = mean + 1 * mcse),
width = 0.5,
position = position_dodge(0.8),
show.legend = FALSE) +
# add vertical
geom_vline(colour = "#F3F4F5", xintercept = seq(1.5, 4, 1))+
geom_point(position = position_dodge(0.8),
size = 1.4) +
# add mean as text above errorbar
geom_text(aes(label = round(mean, 2)),
position = position_dodge(0.8),
vjust = -0.6,
size = 5,
show.legend = FALSE) +
ggh4x::facet_nested(true_effect + n_id ~ pm,
axes = "all",
scales = "free_y",
independent = "y") +
facetted_pos_scales(
y = list(pm == "Bias" ~ scale_y_continuous(expand = c(0, 0), limits = c(-.45, .2)),
pm == "Detection Rate" ~ scale_y_continuous(expand = c(0, 0), limits = c(-0.1, 1.1)))
)+
labs(
title = "",
x = "Timepoints",
colour = "",
fill = "",
group = "",
y = ""
) +
scale_color_manual(values = meth_colors) +
theme_centrality() +
theme(legend.position = "bottom",
ggh4x.facet.nestline = element_line(colour = "#6d6d6e"),
axis.text = element_text(size = 18),
# increase all legend element size
legend.text = element_text(size = 18),
legend.title = element_text(size = 18),
legend.key.size = unit(1.5, "lines"),
strip.text = ggplot2::element_text(size = 24),
strip.text.x.top = ggplot2::element_text(size = 24)
)
ggsave("plot_power_bias_strength.pdf",
plot_power_bias_strength, height = 16* 0.95, width = 16* 0.8,
path = here::here("figures/"))
ggsave("plot_power_bias_strength.svg",
plot_power_bias_strength, height = 16* 0.95, width = 16* 0.8,
path = here::here("scripts", "simulation_viz_figures"), device = "svg")We create plot for different regression outcomes here:
process_data <- function(data, summary) {
df_clean <- data |>
filter(str_detect(pm, summary)) |>
mutate(outcome = case_when(
outcome == "outstrength" ~ "Temporal\nOutstrength",
outcome == "strength" ~ "Contemporaneous\nStrength",
outcome == "instrength" ~ "Temporal\nInstrength"
)) |>
filter(outcome != "Contemporaneous\nStrength") |>
mutate(
n_id = factor(paste0("n = ", n_id), levels = c("n = 75", "n = 200")),
n_tp = factor(paste0("t = ", n_tp), levels = c("t = 60", "t = 120"))
) |>
separate_wider_delim(pm, delim = "reg", names = c("pm", "true_effect"))
split(df_clean, df_clean$true_effect)
}
## Generic plotting function
create_regression_plot <- function(df,
y_label) {
ggplot(data = df,
aes(
x = n_tp,
y = mean,
colour = method,
fill = method,
group = method
)) +
# add horizontal dashed line at zero for bias
geom_hline(yintercept = 0, linetype = 2, alpha = .4)+
geom_errorbar(
aes(ymin = mean - 1 * mcse, ymax = mean + 1 * mcse),
width = .5,
position = position_dodge(0.7),
show.legend = FALSE
) +
geom_point(position = position_dodge(0.7), size = 1.2) +
ggh4x::facet_nested(n_id ~ outcome,
axes = "all",
remove_labels = "y") +
scale_y_continuous(expand = c(0, 0), limits = c(-.45, .2)) +
scale_color_manual(values = meth_colors) +
theme_centrality() +
theme(
legend.position = "none",
strip.text.x.top = ggplot2::element_text(size = rel(0.85)),
ggh4x.facet.nestline = element_line(colour = "#6d6d6e"),
axis.text = element_text(size = 18)
) +
labs(
title = "",
x = "",
colour = "",
group = "",
fill = "",
y = y_label
)
}
## Generate and save combined plots
generate_regression_plots <- function(data, summary, y_label, file_name) {
processed_list <- process_data(data, summary)
plot_list <- lapply(processed_list, create_regression_plot, y_label = y_label)
combined_plot <- cowplot::plot_grid(
plotlist = plot_list,
ncol = 1,
labels = c("True Effect: 0", "True Effect: 0.2", "True Effect: 0.4")
)
ggsave(file_name, combined_plot, height = 16 * 0.95, width = 16 * 0.8,
path = here::here("figures/"))
}
## RMSE Plot
generate_regression_plots(sr_edit, "rmsereg", "RMSE", "plot_reg_rmse_combined.pdf")
## Bias Plot
generate_regression_plots(sr_edit, "biasreg", "bias", "plot_reg_bias_combined.pdf")Here, we investigate the variability of point estimates in specific simulation conditions, for which we need the raw results - this part is therefore not reproducible.
r3 <- ("~/centrality-uncertainty/sim_full.rds-results_pc04798/results-row-3.rds")For easier interpretation, we plot the raw estimates instead of the bias:
mlvar_coefs <- list()
for(i in 1:length(r3$results)){
mlvar_coefs$zero[i] <- lm.beta::lm.beta(r3$results[[i]]$mlvar$reg_outstrength[[1]])$standardized.coefficients[2]
mlvar_coefs$two[i] <- lm.beta::lm.beta(r3$results[[i]]$mlvar$reg_outstrength[[2]])$standardized.coefficients[2]
mlvar_coefs$four[i] <- lm.beta::lm.beta(r3$results[[i]]$mlvar$reg_outstrength[[3]])$standardized.coefficients[2]
}
df_mlvar <- mlvar_coefs |>
bind_rows() |>
dplyr::mutate(method = "mlVAR") |>
dplyr::rename(
"0.0" = zero,
"0.2" = two,
"0.4" = four
)
bmlvar_coefs <- lapply(r3$results, function(x){
tmp <- x$bmlvar$reg_bmlvar$regression_slope$median
df_slopes <- data.frame(
# true coefficients
zero = tmp[c(1,4,7)],
two = tmp[c(2,5,8)],
four = tmp[c(3,6,9)],
coef = c("instrength", "outstrength", "strength")
)
df_slopes
})
df_bmlvar <- bmlvar_coefs |>
bind_rows() |>
dplyr::rename(
"0.0" = zero,
"0.2" = two,
"0.4" = four
) |>
filter(coef == "outstrength") |>
mutate(method = "BmlVAR") |>
select(!coef)
df_estimates <- rbind(df_bmlvar, df_mlvar)
df_estimates |>
pivot_longer(cols = !method,
names_to = "reg_coef") |>
mutate(reg_coef = as.factor(reg_coef)) |>
mutate(method = factor(method, levels = c("mlVAR", "BmlVAR"))) |>
ggplot(aes(x = reg_coef, y = value, fill = method, color = method)) +
geom_point(position = position_jitterdodge(jitter.width = 0.35,
dodge.width = 0.8,
jitter.height = 0),
size = 1.5,
alpha = 0.4) +
geom_boxplot(position = position_dodge(width = 0.8),
outlier.shape = NA, alpha = 0.7) +
labs(x = "True Regression Slope",
y = "Estimated Regression Slope",
color = "",
fill = "") +
theme_centrality() +
theme(text = element_text(size = 21)) +
scale_fill_manual(values = MetBrewer::met.brewer("Johnson")[c(2,5)]) +
scale_color_manual(values = MetBrewer::met.brewer("Johnson")[c(2, 5)])We can now look at the Bayesian models in more detail and check if the Rhats are satisfactory, as well as if there were any divergent transitions.
First, look at Rhats:
sim_results |>
select(bmlvar_diagnostics.rhat_bmlvar_mean) |>
rename("Mean Rhat" = bmlvar_diagnostics.rhat_bmlvar_mean) |>
knitr::kable()| Mean Rhat |
|---|
| 1.0002140 |
| 0.9996671 |
| 1.0001584 |
| 0.9998736 |
Second, we tabulate divergent transitions:
sim_results |>
select(contains("divtrans")) |>
rename_with(~ str_remove(., "bmlvar_diagnostics."), everything()) |>
knitr::kable(col.names = c("Mean Number of DivTrans",
"Sum of DivTrans",
"Models with Divtrans"))| Mean Number of DivTrans | Sum of DivTrans | Models with Divtrans |
|---|---|---|
| 4.390 | 878 | 100 |
| 0.005 | 1 | 1 |
| 1.310 | 262 | 26 |
| 0.000 | 0 | 0 |
Please note that the visualizations were redone in an updated R version, but the computations of the simulation were run in a previous R version as indicated in the Dockerfile.
pander::pander(sessionInfo())R version 4.4.3 (2025-02-28)
Platform: x86_64-pc-linux-gnu
locale: LC_CTYPE=en_US.UTF-8, LC_NUMERIC=C, LC_TIME=en_US.UTF-8, LC_COLLATE=en_US.UTF-8, LC_MONETARY=en_US.UTF-8, LC_MESSAGES=en_US.UTF-8, LC_PAPER=en_US.UTF-8, LC_NAME=C, LC_ADDRESS=C, LC_TELEPHONE=C, LC_MEASUREMENT=en_US.UTF-8 and LC_IDENTIFICATION=C
attached base packages: stats, graphics, grDevices, utils, datasets, methods and base
other attached packages: lm.beta(v.1.7-2), here(v.1.0.1), MetBrewer(v.0.2.0), pander(v.0.6.6), ggh4x(v.0.2.8), janitor(v.2.2.1), ggokabeito(v.0.1.0), showtext(v.0.9-7), showtextdb(v.3.0), sysfonts(v.0.8.9), cowplot(v.1.1.3), SimDesign(v.2.18), lubridate(v.1.9.4), forcats(v.1.0.0), stringr(v.1.5.1), dplyr(v.1.1.4), purrr(v.1.0.4), readr(v.2.1.5), tidyr(v.1.3.1), tibble(v.3.2.1), ggplot2(v.3.5.1) and tidyverse(v.2.0.0)
loaded via a namespace (and not attached): gtable(v.0.3.6), xfun(v.0.51), htmlwidgets(v.1.6.4), tzdb(v.0.4.0), vctrs(v.0.6.5), tools(v.4.4.3), generics(v.0.1.3), curl(v.6.2.1), parallel(v.4.4.3), pkgconfig(v.2.0.3), R.oo(v.1.27.0), RPushbullet(v.0.3.4), lifecycle(v.1.0.4), farver(v.2.1.2), compiler(v.4.4.3), textshaping(v.1.0.0), brio(v.1.1.5), munsell(v.0.5.1), codetools(v.0.2-20), snakecase(v.0.11.1), htmltools(v.0.5.8.1), snow(v.0.4-4), yaml(v.2.3.10), pillar(v.1.10.1), R.utils(v.2.13.0), sessioninfo(v.1.2.3), parallelly(v.1.42.0), tidyselect(v.1.2.1), digest(v.0.6.37), stringi(v.1.8.4), future(v.1.34.0), listenv(v.0.9.1), labeling(v.0.4.3), rprojroot(v.2.0.4), fastmap(v.1.2.0), grid(v.4.4.3), colorspace(v.2.1-1), cli(v.3.6.4), beepr(v.2.0), magrittr(v.2.0.3), future.apply(v.1.11.3), withr(v.3.0.2), scales(v.1.3.0), timechange(v.0.3.0), rmarkdown(v.2.29), globals(v.0.16.3), audio(v.0.1-11), progressr(v.0.15.1), ragg(v.1.3.3), R.methodsS3(v.1.8.2), hms(v.1.1.3), pbapply(v.1.7-2), evaluate(v.1.0.3), knitr(v.1.49), testthat(v.3.2.3), rlang(v.1.1.5), Rcpp(v.1.0.14), xtable(v.1.8-4), glue(v.1.8.0), svglite(v.2.1.3), rstudioapi(v.0.17.1), jsonlite(v.1.9.1), R6(v.2.6.1) and systemfonts(v.1.2.1)